Solve 12/5xy+2/5y^2

$$\frac { 12 } { 5 x y } + \frac { 2 } { 5 y ^ { 2 } }$$

Evaluate

$$\frac{12}{5xy}+\frac{2}{5y^{2}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 5xy and 5y^{2} is 5xy^{2}. Multiply \frac{12}{5xy} times \frac{y}{y}. Multiply \frac{2}{5y^{2}} times \frac{x}{x}.

$$\frac{12y}{5xy^{2}}+\frac{2x}{5xy^{2}}$$

Since \frac{12y}{5xy^{2}} and \frac{2x}{5xy^{2}} have the same denominator, add them by adding their numerators.

$$\frac{12y+2x}{5xy^{2}}$$

Factor

$$\frac{2\left(x+6y\right)}{5xy^{2}}$$